Question

the sum of numbers and it's reciprocal is 2 1/30. find the number.

Answer 1

To solve let x be your number and setup the following equation: 

2(1/30)=61/30

x + 1/x = 61/30 
By taking LCM..

and after cross multiplication

30x² + 30 = 61x 
30s² - 61x + 30 = 0 
(5x - 6)(6x - 5) = 0 
5x - 6 = 0 ===> 5x = 6 ===> x = 6/5 
6x - 5 = 0 ===> 6x = 5 ===> x = 5/6

##Hope you understand #######

Answer 2

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